Exercise 14 Page 22

We are given that the length of the wingspan of a moth is 3 12 inches and the length of the wingspan of a butterfly is 3 14 inches. We are asked to find how many times larger the moth is than the butterfly. We can do thid by dividing the length of the wingspan of the moth by the length of the wingspan of the butterfly. 3 12 in./3 14 in. Now we will simplify the expression that we got. Let's start by canceling out common units. 3 12 in./3 14 in. = 3 12/3 14Notice that we have a complex fraction that we want to simplify. Let's rewrite it as a division problem. 3 12/3 14 = 3 12 ÷ 3 14 Next, we will write the mixed numbers as improper fractions. Let's start with 3 12.

3 12

MixedToFrac

a bc=a* c+b/c

3* 2 +1/2

Multiply

Multiply

6 +1/2

AddTerms

Add terms

7/2

We got that 3 12 is equal to 72. Now we will rewrite 3 14.

3 14

MixedToFrac

a bc=a* c+b/c

3* 4 +1/4

Multiply

Multiply

12 +1/4

AddTerms

Add terms

13/4

We also found that 3 14 is equal to 134. Now we can replace the mixed numbers with improper fractions. 3 12 ÷ 3 14 = 7/2 ÷ 13/4 Next, we will write the division by 134 as multiplication by the reciprocal of 134, which is 413. 7/2 ÷ 13/4 = 7/2 * 4/13 Finally, we can evaluate the expression.

7/2 * 4/13

MultFrac

Multiply fractions

7* 4/2* 13

Multiply

Multiply

28/26

ReduceFrac

a/b=.a /2./.b /2.

28÷ 2/26÷ 2

CalcQuot

Calculate quotient

14/13

We got that the moth is 1413 times larger than the butterfly.